{
  "id": "2004.11708",
  "version": "v1",
  "published": "2020-04-24T12:47:09.000Z",
  "updated": "2020-04-24T12:47:09.000Z",
  "title": "The spectrum of the restriction to an invariant subspace",
  "authors": [
    "Dimosthenis Drivaliaris",
    "Nikos Yannakakis"
  ],
  "journal": "Oper. Matrices 14 (2020) 261-264",
  "doi": "10.7153/oam-2020-14-19",
  "categories": [
    "math.FA"
  ],
  "abstract": "Let $X$ be a Banach space, $A\\in B(X)$ and $M$ be an invariant subspace of $A$. We present an alternative proof that, if the spectrum of the restriction of $A$ to $M$ contains a point that is in any given hole in the spectrum of $A$, then the entire hole is in the spectrum of the restriction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-24T12:47:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47A10",
      "47A15"
    ],
    "keywords": [
      "invariant subspace",
      "restriction",
      "banach space"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}